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Finding the Fourth Proportional to 82,082.45, 113,291.39 and 51,848.54

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Solution

The fourth proportional to 82,082.45, 113,291.39 and 51,848.54 is: 71,562.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,082.45 : 113,291.39 = 51,848.54 : x
  2. Step 2: Convert to fraction form
    82,082.45/113,291.39 = 51,848.54/x
  3. Step 3: Cross multiply
    82,082.45x = 113,291.39 × 51,848.54
  4. Step 4: Simplify right side
    82,082.45x = 5,873,992,340.37
  5. Step 5: Solve for x
    x = 5,873,992,340.37/82,082.45
  6. Step 6: Final answer
    x = 71,562.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.